77m^2=(3m)(3)

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Solution for 77m^2=(3m)(3) equation:


Simplifying
77m2 = (3m)(3)

Remove parenthesis around (3m)
77m2 = 3m(3)

Reorder the terms for easier multiplication:
77m2 = 3 * 3m

Multiply 3 * 3
77m2 = 9m

Solving
77m2 = 9m

Solving for variable 'm'.

Reorder the terms:
-9m + 77m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-9m + 77m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-9 + 77m) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(-9 + 77m)' equal to zero and attempt to solve: Simplifying -9 + 77m = 0 Solving -9 + 77m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 77m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 77m = 0 + 9 77m = 0 + 9 Combine like terms: 0 + 9 = 9 77m = 9 Divide each side by '77'. m = 0.1168831169 Simplifying m = 0.1168831169

Solution

m = {0, 0.1168831169}

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